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378068880 = 243571391619
BaseRepresentation
bin10110100010001…
…101111110010000
3222100101220000010
4112202031332100
51233241201010
6101303154520
712240350430
oct2642157620
9870356003
10378068880
11184456822
12a6745a40
13604331c7
14382d62c0
15232d0620
hex1688df90

378068880 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 85741056.

The previous prime is 378068861. The next prime is 378068881. The reversal of 378068880 is 88860873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (378068881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232711 + ... + 234329.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2378068880 is an apocalyptic number.

378068880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

378068880 is an abundant number, since it is smaller than the sum of its proper divisors (971844720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378068880 is a wasteful number, since it uses less digits than its factorization.

378068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 378068880 is about 19443.9934169913. The cubic root of 378068880 is about 723.0865947331.

The spelling of 378068880 in words is "three hundred seventy-eight million, sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 139 140 168 210 240 278 280 336 417 420 556 560 695 834 840 973 1112 1390 1619 1668 1680 1946 2085 2224 2780 2919 3238 3336 3892 4170 4857 4865 5560 5838 6476 6672 7784 8095 8340 9714 9730 11120 11333 11676 12952 14595 15568 16190 16680 19428 19460 22666 23352 24285 25904 29190 32380 33360 33999 38856 38920 45332 46704 48570 56665 58380 64760 67998 77712 77840 90664 97140 113330 116760 129520 135996 169995 181328 194280 225041 226660 233520 271992 339990 388560 450082 453320 543984 675123 679980 900164 906640 1125205 1350246 1359960 1575287 1800328 2250410 2700492 2719920 3150574 3375615 3600656 4500820 4725861 5400984 6301148 6751230 7876435 9001640 9451722 10801968 12602296 13502460 15752870 18003280 18903444 23629305 25204592 27004920 31505740 37806888 47258610 54009840 63011480 75613776 94517220 126022960 189034440 378068880